# Orders of automorphisms of K3 surfaces

@article{Keum2012OrdersOA,
title={Orders of automorphisms of K3 surfaces},
author={JongHae Keum},
journal={arXiv: Algebraic Geometry},
year={2012}
}
• J. Keum
• Published 26 March 2012
• Mathematics
• arXiv: Algebraic Geometry
23 Citations

## Tables from this paper

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We classify possible finite groups of symplectic automorphisms of K3 surfaces of order divisible by 11. The characteristic of the ground field must be equal to 11. The complete list of such groups

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We show that Mukai’s classication of nite groups which may act symplectically on a complex K3 surface extends to positive characteristic p under assumptions that (i) the order of the group is coprime

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In characteristic $p=0$ or $p>5$, we show that a K3 surface with an order 60 automorphism is unique up to isomorphism. As a consequence, we characterize the supersingular K3 surface with Artin

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Let k be an algebraically closed field of positive characteristic which we take as the ground field. Let / : X —> C be a morphism from a nonsingular projective surface X to a nonsingular projective

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<abstract abstract-type="TeX"><p>Let <i>G</i> be a finite group of automorphisms of a <i>K</i>3 surface <i>X</i>. We shall show that |<i>G</i>| ≤ 3840 and if |<i>G</i>| = 3840, then the pair (<i>X,

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